Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings

Computing models for quotients of modular curves

(2021) Josha Box   Research in Number Theory

Quadratic points on modular curves with infinite Mordell–Weil group

(2020) Josha Box   MATHEMATICS OF COMPUTATION

Explicit Coleman integration for curves

(2020) Jennifer S. Balakrishnan et al.   MATHEMATICS OF COMPUTATION

Hyperelliptic parametrizations of $$\pmb {\mathbb {Q}}$$-curves

(2020) Francesc Bars et al.   RAMANUJAN JOURNAL

Quadratic Chabauty for (bi)elliptic curves and Kim’s conjecture

(2020) Francesca Bianchi   Algebra & Number Theory

Quadratic Chabauty and rational points, I: $p$ -adic heights

(2018) Jennifer S. Balakrishnan et al.   DUKE MATHEMATICAL JOURNAL

Rational 6-Cycles Under Iteration of Quadratic Polynomials

(2011) Michael Stoll   LMS Journal of Computation and Mathematics

Serre’s conjecture and its consequences

(2010) Chandrashekhar Khare   Japanese Journal of Mathematics

Rational points on X0+(37M)

(2010) Keisuke Arai et al.   JOURNAL OF NUMBER THEORY

The Mordell–Weil sieve: proving non-existence of rational points on curves

(2010) Nils Bruin et al.   LMS Journal of Computation and Mathematics

Serre’s modularity conjecture (II)

(2009) Chandrashekhar Khare et al.   INVENTIONES MATHEMATICAE

Two-cover descent on hyperelliptic curves

(2009) Nils Bruin et al.   MATHEMATICS OF COMPUTATION